The graph of g(x) pictured below is a quartic (4th degree) polynomial with its only roots at x=2 and x=-2. The equilateral triangle pictured has two of its vertices at the two roots of g(x) and its third vertex at the y-intercept of g(x). Determine the rule of g(x).

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A: Explanation of the solution is given below...

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Q: State

A: Please refer to the image below

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